527968903 has 32 divisors (see below), whose sum is σ = 695232000. Its totient is φ = 388437120.

The previous prime is 527968879. The next prime is 527968927. The reversal of 527968903 is 309869725.

It is an interprime number because it is at equal distance from previous prime (527968879) and next prime (527968927).

It is a cyclic number.

It is not a de Polignac number, because 527968903 - 2⁵ = 527968871 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527966903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744313 + ... + 745021.

It is an arithmetic number, because the mean of its divisors is an integer number (21726000).

Almost surely, 2^527968903 is an apocalyptic number.

527968903 is a deficient number, since it is larger than the sum of its proper divisors (167263097).

527968903 is a wasteful number, since it uses less digits than its factorization.

527968903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 527968903 is about 22977.5739145803. The cubic root of 527968903 is about 808.2321363330.

The spelling of 527968903 in words is "five hundred twenty-seven million, nine hundred sixty-eight thousand, nine hundred three".